75464064 has 96 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 23215104.

The previous prime is 75464047. The next prime is 75464087. The reversal of 75464064 is 46046457.

75464064 is a `hidden beast` number, since 7 + 5 + 4 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12457 + ... + 17495.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^75464064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

75464064 is an abundant number, since it is smaller than the sum of its proper divisors (158442336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75464064 is a wasteful number, since it uses less digits than its factorization.

75464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 75464064 is about 8687.0054679389. The cubic root of 75464064 is about 422.5843375865.

The spelling of 75464064 in words is "seventy-five million, four hundred sixty-four thousand, sixty-four".